| Exam Board | OCR |
|---|---|
| Module | FP1 (Further Pure Mathematics 1) |
| Year | 2009 |
| Session | January |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Matrices |
| Type | Matrix arithmetic operations |
| Difficulty | Moderate -0.8 This is a straightforward Further Maths question testing basic matrix operations: finding the inverse of a 2×2 matrix using the standard formula and performing scalar multiplication with matrix subtraction. Both parts are routine calculations requiring only direct application of standard techniques with no problem-solving or insight needed. |
| Spec | 4.03b Matrix operations: addition, multiplication, scalar4.03n Inverse 2x2 matrix |
2 The matrix $\mathbf { A }$ is given by $\mathbf { A } = \left( \begin{array} { l l } 2 & 0 \\ a & 5 \end{array} \right)$. Find\\
(i) $\mathbf { A } ^ { - 1 }$,\\
(ii) $2 \mathbf { A } - \left( \begin{array} { l l } 1 & 2 \\ 0 & 4 \end{array} \right)$.
\hfill \mbox{\textit{OCR FP1 2009 Q2 [4]}}